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Finding the Third Proportional to 947,218 and 2,029,544

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Solution

The third proportional to 947,218 and 2,029,544 is: 4,348,575.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,218 : 2,029,544 = 2,029,544 : x
  2. Step 2: Convert to fraction form
    947,218/2,029,544 = 2,029,544/x
  3. Step 3: Cross multiply
    947,218x = 2,029,544 × 2,029,544
  4. Step 4: Simplify right side
    947,218x = 4,119,048,847,936
  5. Step 5: Solve for x
    x = 4,119,048,847,936/947,218
  6. Step 6: Final answer
    x = 4,348,575.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.